Final answer:
The cranial nerve that has three major branches is the trigeminal nerve (CNV), which is a mixed nerve.
Step-by-step explanation:
The cranial nerve that has three major branches is the trigeminal nerve (CNV). It is a mixed nerve, meaning it contains both sensory and motor fibers. The three major branches of the trigeminal nerve are the ophthalmic branch (V1), the maxillary branch (V2), and the mandibular branch (V3).